The numerical solution of large finite element systems by explicit preconditioning semi-direct methods
The numerical solution of linear time-varying DAEs with index 2 by IRK methods.
The Numerical Solution of Stiff IVPs in ODEs Using Modified Second Derivative BDF
This paper considers modified second derivative BDF (MSD-BDF) for the numerical solution of stiff initial value problems (IVPs) in ordinary differential equations (ODEs). The methods are A-stable for step length .
The Numerical Solution of the Inverse Stefan Problem.
The numerical solution of Volterra integro-functional equations
The Numerical Solutions of Interface Problems by Infinite Element Method.
The numerical treatment of perturbed bifurcation in boundary value problems
The numerical treatment of stiff initial value problems
The numerical valuation of options with underlying jumps.
The Numerically Stable Reconstruction of Jacobi Matrices from Spectral Data.
The operation of infimal convolution [Book]
The operator remainder in the Euler-Maclaurin formula.
The optimal control problem in coefficients for the pseudoparabolic variational inequality
The Optimal Recovery of Smooth Function.
The optimization of heat radiation intensity
This article focuses on the problem of calculating the intensity of heat radiation and its optimization across the surface of an aluminium or nickel mould. The inner mould surface is sprinkled with a special PVC powder and the outer mould surface is warmed by infrared heaters located above the mould. In this way artificial leathers are produced in the car industry (e.g., the artificial leather on a car dashboard). The article includes a description of how a mathematical model allows us to calculate the...
The Ordering of Tridiagonal Matrices in the Cyclic Reduction Method for Poisson's Equation.
The ordinary differential equation approach to asymptotically efficient schemes for solution of stochastic differential equations
The output least squares identifiability of the diffusion coefficient from an H–observation in a 2–D elliptic equation
Output least squares stability for the diffusion coefficient in an elliptic equation in dimension two is analyzed. This guarantees Lipschitz stability of the solution of the least squares formulation with respect to perturbations in the data independently of their attainability. The analysis shows the influence of the flow direction on the parameter to be estimated. A scale analysis for multi-scale resolution of the unknown parameter is provided.
The Output Least Squares Identifiability of the Diffusion Coefficient from an H1–Observation in a 2–D Elliptic Equation
Output least squares stability for the diffusion coefficient in an elliptic equation in dimension two is analyzed. This guarantees Lipschitz stability of the solution of the least squares formulation with respect to perturbations in the data independently of their attainability. The analysis shows the influence of the flow direction on the parameter to be estimated. A scale analysis for multi-scale resolution of the unknown parameter is provided.
The version of mixed finite element methods for parabolic problems